What is the Greatest Common Factor of 82138 and 82150?

Greatest common factor (GCF) of 82138 and 82150 is 2.

GCF(82138,82150) = 2

We will now calculate the prime factors of 82138 and 82150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82138 and 82150.

How to find the GCF of 82138 and 82150?

We will first find the prime factorization of 82138 and 82150. After we will calculate the factors of 82138 and 82150 and find the biggest common factor number .

Step-1: Prime Factorization of 82138

Prime factors of 82138 are 2, 7, 5867. Prime factorization of 82138 in exponential form is:

82138 = 2¹ × 7¹ × 5867¹

Step-2: Prime Factorization of 82150

Prime factors of 82150 are 2, 5, 31, 53. Prime factorization of 82150 in exponential form is:

82150 = 2¹ × 5² × 31¹ × 53¹

Step-3: Factors of 82138

List of positive integer factors of 82138 that divides 82138 without a remainder.

1, 2, 7, 14, 5867, 11734, 41069

Step-4: Factors of 82150

List of positive integer factors of 82150 that divides 82138 without a remainder.

1, 2, 5, 10, 25, 31, 50, 53, 62, 106, 155, 265, 310, 530, 775, 1325, 1550, 1643, 2650, 3286, 8215, 16430, 41075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82138 and 82150. The biggest common factor number is the GCF number.
So the greatest common factor 82138 and 82150 is 2.

Also check out the Least Common Multiple of 82138 and 82150